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Select all the pairs that form an instability

Select all the pairs that form an instability

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Consider the following input to the stable matching problem with n=3 men (X, Y, Z) and women (A, B, C), and their preferences A: X>Y > Z B:X > Y > Z C: Z>Y > X X: C> A > B Y: A > B> C Z: A > B>C Consider the matching (A,Z), (B,X) and (C,Y). Select all the pairs that form an instability (where pair (m,w) form an instability if m prefers w over their partner in the matching AND w prefers m over their partner in the matching.)
Transcribed Image Text:Consider the following input to the stable matching problem with n=3 men (X, Y, Z) and women (A, B, C), and their preferences A: X>Y > Z B:X > Y > Z C: Z>Y > X X: C> A > B Y: A > B> C Z: A > B>C Consider the matching (A,Z), (B,X) and (C,Y). Select all the pairs that form an instability (where pair (m,w) form an instability if m prefers w over their partner in the matching AND w prefers m over their partner in the matching.)
a) (A,X) form an instability b) (A, Y) form an instability c) (A, Z) form an instability d) (B,X) form an instability e) (BY) form an instability f) (B,Z) form an instability g) (C,X) form an instability Oh) (C,Y) form an instability i) (C,Z) form an instability Oj) there are no instabilities
Transcribed Image Text:a) (A,X) form an instability b) (A, Y) form an instability c) (A, Z) form an instability d) (B,X) form an instability e) (BY) form an instability f) (B,Z) form an instability g) (C,X) form an instability Oh) (C,Y) form an instability i) (C,Z) form an instability Oj) there are no instabilities
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